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434724098744 = 231331134839981
BaseRepresentation
bin1100101001101111001…
…00110101001010111000
31112120002200002100120002
412110313210311022320
524110303332124434
6531413130052132
743256603604335
oct6246744651270
91476080070502
10434724098744
11158402469771
127030427a048
1331cc0651130
141707dbad98c
15b49512a57e
hex65379352b8

434724098744 has 32 divisors (see below), whose sum is σ = 906124679040. Its totient is φ = 194169571200.

The previous prime is 434724098741. The next prime is 434724098819. The reversal of 434724098744 is 447890427434.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 434724098744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434724098741) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67416767 + ... + 67423214.

It is an arithmetic number, because the mean of its divisors is an integer number (28316396220).

Almost surely, 2434724098744 is an apocalyptic number.

It is an amenable number.

434724098744 is an abundant number, since it is smaller than the sum of its proper divisors (471400580296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

434724098744 is a wasteful number, since it uses less digits than its factorization.

434724098744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134840031 (or 134840027 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 56.

The spelling of 434724098744 in words is "four hundred thirty-four billion, seven hundred twenty-four million, ninety-eight thousand, seven hundred forty-four".

Divisors: 1 2 4 8 13 26 31 52 62 104 124 248 403 806 1612 3224 134839981 269679962 539359924 1078719848 1752919753 3505839506 4180039411 7011679012 8360078822 14023358024 16720157644 33440315288 54340512343 108681024686 217362049372 434724098744